[Dev] Tutorial on regularization

[ocots]

• Malisani regularization: see code here. The idea is to regularize the problem with the techniques from the article, not to solve it with the bvp algorithm. Solve with direct and indirect methods the examples from the article. Get inspiration from BVP-DAE.
• Log barrier and space (look for Epenoy ref). Reproduce page 44 Thèse Cots.

Future: we can have a function regularize on the abstract code.

@jbcaillau @joseph-gergaud Do you know the Epenoy ref about log barrier?

[jbcaillau]

@ocots you should find the refs into this recent paper on top of that, ask richard directly!

@jbcaillau @joseph-gergaud Do you know the Epenoy ref about log barrier?

[YouriRenoud]

@ocots I would like to work on this issue, could you give me the access ?

[YouriRenoud]

Oh sorry as it is in the same repo as free time I already have the access...

[ocots]

Take your time to choose between Space mechanics or Malisani's regularization and tell me what you want to do first.

[YouriRenoud]

I am going to start with Space mechanics which seems a bit easier

[ocots]

Consider the minimum fuel consumption problem with the Gauss coordinates. Use logarithmic barrier to regularize.

This can help to compute the maximizing control (it is part of the correction of Q8 of the TP-Project):

[ocots]

Have a look at:

• https://control-toolbox.org/Kepler.jl/stable/
• page 44 Thèse Cots
• this paper

[jbcaillau]

nice @ocots a good idea a fixed final time close to the min time (and the adjoint state as well to initialise)